Google Chrome is unsurprisingly the default browser in the Nexus 9. Its design was updated recently, so it matches to overall look and feel of Android 5.0 Lollipop.
One of Chrome's strengths is its ability to seamlessly sync with the desktop version, using nothing but your Google account. This allows you to open an article on your PC and finish reading it on your mobile phone. It also syncs your bookmarks and favorite sites.
Google Calendar received a major overhaul with Android 5.0 Lollipop. The app features sleek new look that features different graphic for each month. It can automatically add events straight from your Gmail account, so you don't need to worry about flights, dinner reservations and the likes.
You can now add photos and maps to your calendar events. A button to add events can be seen at the bottom right of the app.
Google Docs, Sheets, and Slides handle creating and editing office documents. The apps sync with Google Drive and can work while offline as well - files will sync with the cloud when your device goes online again.
Google Fit is the search giant's freshly launched fitness platform. It syncs with Android Wear devices and other compatible accessories such as smart scales. You can record activities, set goals, and keep track of you progress.
Google Fit can also send you notifications and reminders to keep you on track. The functionality of the platform will certainly grow further going forward.
The stock Android clock has a new look, but has retained its familiar functionality. The same goes for the calculator.
Google Keep handles basic note taking. It syncs with your account and is as easy to use as it gets.
Google Maps is at your service with the usual array of options to find your way both indoors and out. You can save maps and routes for offline usage as well, although re-routing isn't an option and even if you have saved a map you can't get a route calculated without a data connection.
Google Play store has a new look, but the same functionality. There are no surprises here.